Step-by-step explanation:
Consider the provided information.
A convex polygon is a polygon with all its interior angles less than 180°.
Regular polygon is a polygon in which all angles are equal and all sides are the same length.
An irregular polygon does not have congruent sides and interior angles.
From the above definitions we can identify the similarities and differences between the interior and exterior angles of both polygons.
Difference:
The interior angles of regular polygon are equal.
Since, the interior angles of a regular polygon are equal, the exterior angles must also be equal to one another.
The interior angle of irregular polygons are not equal, however, each exterior angle may have a different measurement as well.
Similarity:
The sum of interior angles for both polygon are equal. Also the sum of exterior angles for both polygon are equal.
Answer:
31.7
Rounded to the nearest Tenths Place.
Remember, all inside angles in a triangle add up to 180°
So:
3x+5x+7+x+2=180
Combine like terms
9x+9=180
Subtract 9 from both sides
180-9=171
9x=171
Divide by 9 on both sides
171/9=19
x=19
Plug it into all the angle measures.
Angle X: x+2, 9+2=11, Angle X=11°
Angle Y: 5x+7, 5(9)+7=52, Angle Y=52°
Angle Z: 3x, 3(9)=27, Angle Z=27°
Answer:
$1279.25
Step-by-step explanation:
The first $6800 is multiplied by .085 to get the 8.5% they earned. This equals $570. After that, the remaining money is multiplied by .1275 to get the 8.5%+4.25%. This leaves you with $5500x.1275. This equals 701.25. $701.25+$570=$1279.25. Hope this helps :)
To do this, first, find the decimal of 1/3. You will divide 1 by 3. This equals .333333333(goes on forever). Put a repeating bar over the first 3 to show that it goes on forever (put this: - over the .3) Now divide to find out how much you will need to subtract by. 960*33.3(with - over .3)=28.8. Subtract 28.8 from 960 (960-28.8=931.2) 931.2 is the answer.